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Finding the Fourth Proportional to 43,896, 65,844.72 and 12,734.40

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Solution

The fourth proportional to 43,896, 65,844.72 and 12,734.40 is: 19,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,896 : 65,844.72 = 12,734.40 : x
  2. Step 2: Convert to fraction form
    43,896/65,844.72 = 12,734.40/x
  3. Step 3: Cross multiply
    43,896x = 65,844.72 × 12,734.40
  4. Step 4: Simplify right side
    43,896x = 838,493,002.37
  5. Step 5: Solve for x
    x = 838,493,002.37/43,896
  6. Step 6: Final answer
    x = 19,101.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.